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// Natural selection. Created by Reinder Nijhoff 2019 // @reindernijhoff // // https://turtletoy.net/turtle/2f92cd6aa3 // // A naive genetic algorithm is used to reconstruct the quote: "Natural selection is anything // but random." by Richard Dawkins. /// // - The individuals of the first generation have random 'DNA' (41 characters). // - The 'fittest' individual of each (generations/19)th generation is printed. // - The fitness of an individual is given by the number of characters in its 'DNA' that match // the quote. // - The two fittest individuals of each generation reproduce using crossovers and mutations. // // The chance that a fully random individual matches the quote is 1 : 95^41 ≈ 1 : 10^80. // (10^80 is the estimated number of atoms in the known, observable universe) // const text = new Text(); const turtle = new Turtle(-92,-90); const mutationRate = .02; // min=0.01, max=0.5, step=0.01 const populationSize = 2000; // min=10, max=2000, step=1 const generations = 40; // min=40, max=1000, step=10 const fittest = "Natural selection is anything but random.".split(''); // // Individual // class Individual { constructor() { this.dna = []; this.fitness = 0; } fillRandom() { fittest.forEach( (v,i) => { this.dna[i] = this.randomCharacter(); } ); this.calcFitness(); } breed(p0, p1) { let s = Math.floor(Math.random()*(fittest.length-2))+1; // crossover if (Math.random() < .5) { this.dna = [...p0.dna.slice(0,s), ...p1.dna.slice(s)]; } else { this.dna = [...p1.dna.slice(0,s), ...p0.dna.slice(s)]; } // mutations this.dna.forEach( (v,i) => { if (Math.random() < mutationRate) { this.dna[i] = this.randomCharacter(); } } ); this.calcFitness(); } calcFitness() { this.fitness = 0; fittest.forEach( (v,i) => { if (this.dna[i] == v) this.fitness++; }); } randomCharacter() { return String.fromCharCode(Math.floor(Math.random()*95)+32); } } // // Generation // class Generation { constructor() { this.individuals = []; for (let i=0; i<populationSize; i++) { this.individuals[i] = new Individual(); } } fillRandom() { this.individuals.forEach(i => i.fillRandom()); return this.sortFittest(); } breed(parentGeneration) { const p0 = parentGeneration.individuals[0]; const p1 = parentGeneration.individuals[1]; this.individuals.forEach(i => i.breed(p0, p1)); return this.sortFittest(); } sortFittest() { this.individuals.sort( (a, b) => b.fitness - a.fitness ); return this; } } // // Selection // let gen0 = new Generation().fillRandom(); let gen1 = new Generation(); function walk(i) { turtle.jump(-92, -90+i*10); text.print(turtle, gen0.individuals[0].dna.join(''),.21); for (let i=0; i<generations/40; i++) { gen1.breed(gen0) gen0.breed(gen1) } return i<18; } //////////////////////////////////////////////////////////////// // Text utility code - https://turtletoy.net/turtle/1713ddbe99 // !! MODIFIED TO MAKE IT MONOSPACED //////////////////////////////////////////////////////////////// function Text() { class Text { print (t, str, scale) { t.radians(); let pos = [t.x(), t.y()], h = t.h(), o = pos; str.split('').map(c => { const i = c.charCodeAt(0) - 32; if (i < 0 ) { pos = o = this.rotAdd([0, 48*scale], o, h); } else if (i > 96 ) { pos = this.rotAdd([16*scale, 0], o, h); } else { const d = dat[i], paths = d[2]; paths.map( p => { t.up(); p.map( s=> { t.goto(this.rotAdd([s[0]*scale , s[1]*scale], pos, h)); t.down(); }); }); pos = this.rotAdd([22*scale, 0], pos, h); } }); } rotAdd (a, b, h) { return [Math.cos(h)*a[0] - Math.sin(h)*a[1] + b[0], Math.cos(h)*a[1] + Math.sin(h)*a[0] + b[1]]; } } const dat = ('br>eoj^jl<jqirjskrjq>brf^fe<n^ne>`ukZdz<qZjz<dgrg<cmqm>`thZhw<lZlw<qao_l^h^e_caccdeefg'+ 'gmiojpkqmqporlshsercp>^vs^as<f^h`hbgdeeceacaab_d^f^h_k`n`q_s^<olmmlolqnspsrrspsnqlol>]wtgtfsereqfph'+ 'nmlpjrhsdsbraq`o`makbjifjekckaj_h^f_eaecffhimporqssstrtq>eoj`i_j^k_kajcid>cqnZl\\j_hcghglhqjulxnz>c'+ 'qfZh\\j_lcmhmllqjuhxfz>brjdjp<egom<ogem>]wjajs<ajsj>fnkojpiojnkokqis>]wajsj>fnjniojpkojn>_usZaz>`ti'+ '^f_dbcgcjdofrisksnrpoqjqgpbn_k^i^>`tfbhak^ks>`tdcdbe`f_h^l^n_o`pbpdofmicsqs>`te^p^jfmfogphqkqmppnrk'+ 'shserdqco>`tm^clrl<m^ms>`to^e^dgefhekenfphqkqmppnrkshserdqco>`tpao_l^j^g_ebdgdlepgrjsksnrppqmqlping'+ 'kfjfggeidl>`tq^gs<c^q^>`th^e_dadceegfkgnhpjqlqopqorlshserdqcocldjfhigmfoepcpao_l^h^>`tpeohmjjkikfjd'+ 'hcecddaf_i^j^m_oapepjoomrjshserdp>fnjgihjikhjg<jniojpkojn>fnjgihjikhjg<kojpiojnkokqis>^vrabjrs>]wag'+ 'sg<amsm>^vbarjbs>asdcdbe`f_h^l^n_o`pbpdofngjijl<jqirjskrjq>]xofndlcicgdfeehekfmhnknmmnk<icgefhfkgmh'+ 'n<ocnknmpnrntluiugtdsbq`o_l^i^f_d`bbad`g`jambodqfrislsorqqrp<pcokompn>asj^bs<j^rs<elol>_tc^cs<c^l^o'+ '_p`qbqdpfoglh<chlhoipjqlqopqorlscs>`urcqao_m^i^g_eadccfckdnepgrismsorqprn>_tc^cs<c^j^m_oapcqfqkpnop'+ 'mrjscs>`sd^ds<d^q^<dhlh<dsqs>`rd^ds<d^q^<dhlh>`urcqao_m^i^g_eadccfckdnepgrismsorqprnrk<mkrk>_uc^cs<'+ 'q^qs<chqh>fnj^js>brn^nnmqlrjshsfreqdndl>_tc^cs<q^cl<hgqs>`qd^ds<dsps>^vb^bs<b^js<r^js<r^rs>_uc^cs<c'+ '^qs<q^qs>_uh^f_daccbfbkcndpfrhslsnrppqnrkrfqcpan_l^h^>_tc^cs<c^l^o_p`qbqepgohlici>_uh^f_daccbfbkcnd'+ 'pfrhslsnrppqnrkrfqcpan_l^h^<koqu>_tc^cs<c^l^o_p`qbqdpfoglhch<jhqs>`tqao_l^h^e_caccdeefggmiojpkqmqpo'+ 'rlshsercp>brj^js<c^q^>_uc^cmdpfrisksnrppqmq^>asb^js<r^js>^v`^es<j^es<j^os<t^os>`tc^qs<q^cs>asb^jhjs'+ '<r^jh>`tq^cs<c^q^<csqs>cqgZgz<hZhz<gZnZ<gznz>cqc^qv>cqlZlz<mZmz<fZmZ<fzmz>brj\\bj<j\\rj>asazsz>fnkc'+ 'ieigjhkgjfig>atpeps<phnfleiegfehdkdmepgrislsnrpp>`sd^ds<dhffhekemfohpkpmopmrkshsfrdp>asphnfleiegfeh'+ 'dkdmepgrislsnrpp>atp^ps<phnfleiegfehdkdmepgrislsnrpp>asdkpkpiognfleiegfehdkdmepgrislsnrpp>eqo^m^k_j'+ 'bjs<gene>atpepuoxnylzizgy<phnfleiegfehdkdmepgrislsnrpp>ate^es<eihfjemeofpips>fni^j_k^j]i^<jejs>eoj^'+ 'k_l^k]j^<kekvjyhzfz>are^es<oeeo<ikps>fnj^js>[y_e_s<_ibfdegeifjijs<jimfoeretfuius>ateees<eihfjemeofp'+ 'ips>atiegfehdkdmepgrislsnrppqmqkphnfleie>`sdedz<dhffhekemfohpkpmopmrkshsfrdp>atpepz<phnfleiegfehdkd'+ 'mepgrislsnrpp>cpgegs<gkhhjfleoe>bsphofleieffehfjhkmlompopporlsisfrep>eqj^jokrmsos<gene>ateeeofrhsks'+ 'mrpo<peps>brdejs<pejs>_ubefs<jefs<jens<rens>bseeps<pees>brdejs<pejshwfydzcz>bspees<eepe<esps>cqlZj['+ 'i\\h^h`ibjckekgii<j[i]i_jakbldlfkhgjkllnlpkrjsiuiwjy<ikkmkojqirhthvixjylz>fnjZjz>cqhZj[k\\l^l`kbjci'+ 'eigki<j[k]k_jaibhdhfihmjilhnhpirjskukwjy<kkimiojqkrltlvkxjyhz>^vamakbhdgfghhlknlplrksi<akbidhfhhill'+ 'nmpmrlsisg>brb^bscsc^d^dsese^f^fsgsg^h^hsisi^j^jsksk^l^lsmsm^n^nsoso^p^psqsq^r^rs').split('>').map( r=> { return [r.charCodeAt(0)-106,r.charCodeAt(1)-106, r.substr(2).split('<').map(a => {const ret = []; for (let i=0; i<a.length; i+=2) {ret.push(a.substr(i, 2).split('').map(b => b.charCodeAt(0) -106));} return ret; })]; }); return new Text(); }